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Interpolating Matrix Models for WLZZ series

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arxiv 2301.04107 v2 pith:DZ7TYORX submitted 2023-01-10 hep-th math-phmath.MP

A. Mironov , V. Mishnyakov , A. Morozov , A. Popolitov , Rui Wang , Wei-Zhong Zhao This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords modelsgeneralizationsinfiniterepresentationswlzzalgebraarxivassociated
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abstract

We suggest a two-matrix model depending on three (infinite) sets of parameters which interpolates between all the models proposed in arXiv:2206.13038, and defined there through $W$-representations. We also discuss further generalizations of these WLZZ models realized by $W$-representations associated with infinite commutative families of generators of $w_\infty$-algebra which are presumably related to more sophisticated multi-matrix models. Integrable properties of these generalizations are described by what we call the skew hypergeometric $\tau$-functions.

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  1. Phases in WLZZ Matrix Models

    hep-th 2025-07 conditional novelty 6.0 of 10

    For WLZZ two-matrix models, integration contours describe only a finite-N subspace of Ward identity solutions, and the full solution space is recovered only in the N-to-infinity limit.

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